9-1: Dani D. and Elayna VB.
9-2: Jimmy H. and Dylan K.
9-3: Kera M. and Jonathan Z.
9-4: Alissa D. and Alayna S. (Bonus)
9-5: Dylan K. (Bonus) and Susie W. (Bonus)
9-6: Chantel D. (Bonus) and Lauren W. (Bonus)
9-7: Zack B. (Bonus) and Bethany H. (Bonus)
9-8: Jimmy H. (Bonus) and Chelsey R. (Bonus)
Student Summaries:
In section 9-1 we learned how to add an subtract polynomials. A polynomial is a collection of sums and differences of sums. To add and subtract polynomials, you have to combine like terms. If the variables and exponents are not the same, you can not combine them. -Elayna VB and Danielle D
Student Summaries:
In section 9-2 we learned how to multiply monomials. There are some rules when multiplying monomials, to add or subtract you need like terms and to multiply you do not, you need to multiply like parts (numbers or variables). Then you distribute what is on the outside of the parenthases to the inside of the parenthases and the product of that is the answer.
Student Summaries:
In this lesson we learn how divide by monomials. To divide powers with the same bases there is a rule called the quotient rule for exponents, to use this rule you just subtract the exponent in the denominator from the exponent in the numerator. Other times you may need to break up the equations to make them into fractions and this will make it easier to divide and simplify.
-Kera M. & Jon Z.
Student Summaries:
In this lesson, we learned about multiplying a polynomial by a monomial. For example if you have 2x(2x+y) you would distribute the 2x into the parenthesis to simplify. So your answer would be 4x^2 + 2xy. That is all you do to every equation that they ask you to simplify for. You split up a polynomial into its different terms. When you have many terms, we can show the multiplication of a monomial that you distribute as multiplication to each monomial. You multiply the coefficients first, and then the variables in alphabetical order.
-Alayna & Alissa.
Student Summaries:
First you have to distribute the first number in the first set of perenthsises it usually has a variable with it. Then you multiply the second number in the first set of perenthisies. After that you add or subtract like terms.
-Susie and Dylan K.
Student Summaries:
In lesson 9-7, we learned how to take a polynomial and break it down into two things. You would, in a way, seperate the polynomial so it is as small as possible. For example, to factor a polynomial like 24h+16hy, the highest number that both 24 and 16 have in common would be 8. So, outside of the brackets, you would have an 8 that can be distributed to a 3+2; resulting in 24+16. Then, you look at the variables to see what they have in common as well. They both have an h but 16hy has a y as well so only an h can stand with the 8. The 2 would have the y with it so the ending result would be 8h[3+2y].
Student Summaries: In section 9-8 we learned how to factor perfect square trinomials and how to factor the differance of perfect squares. Then when you multiply two binomials together you get a trinomial. That will be known as a perfect square this will then factor into a binomial square.
-Jimmy H.
Table of Contents
Chapter 9: Polynomials
Preview: Chapter 9 Preview 1011.pdfWiki Summaries:
9-1: Dani D. and Elayna VB.9-2: Jimmy H. and Dylan K.
9-3: Kera M. and Jonathan Z.
9-4: Alissa D. and Alayna S. (Bonus)
9-5: Dylan K. (Bonus) and Susie W. (Bonus)
9-6: Chantel D. (Bonus) and Lauren W. (Bonus)
9-7: Zack B. (Bonus) and Bethany H. (Bonus)
9-8: Jimmy H. (Bonus) and Chelsey R. (Bonus)
9-1: Add and Subtract Polynomials
Notes: Section 9-1 Student 1011.pdfView the lesson
Student Summaries:
In section 9-1 we learned how to add an subtract polynomials. A polynomial is a collection of sums and differences of sums. To add and subtract polynomials, you have to combine like terms. If the variables and exponents are not the same, you can not combine them. -Elayna VB and Danielle D
9-2: Multiply Monomials
Notes: Section 9-2 Student 1011.pdfView the lesson:
Student Summaries:
In section 9-2 we learned how to multiply monomials. There are some rules when multiplying monomials, to add or subtract you need like terms and to multiply you do not, you need to multiply like parts (numbers or variables). Then you distribute what is on the outside of the parenthases to the inside of the parenthases and the product of that is the answer.
- Jimmy H Dylan K.
9-3: Divide by a Monomial
Notes: Section 9-3 Student 1011.pdfView the lesson:
Student Summaries:
In this lesson we learn how divide by monomials. To divide powers with the same bases there is a rule called the quotient rule for exponents, to use this rule you just subtract the exponent in the denominator from the exponent in the numerator. Other times you may need to break up the equations to make them into fractions and this will make it easier to divide and simplify.
-Kera M. & Jon Z.
9-4: Multiply a Polynomial by a Monomial
Notes: Section 9-4 Student 1011.pdfView the lesson:
Student Summaries:
In this lesson, we learned about multiplying a polynomial by a monomial. For example if you have 2x(2x+y) you would distribute the 2x into the parenthesis to simplify. So your answer would be 4x^2 + 2xy. That is all you do to every equation that they ask you to simplify for. You split up a polynomial into its different terms. When you have many terms, we can show the multiplication of a monomial that you distribute as multiplication to each monomial. You multiply the coefficients first, and then the variables in alphabetical order.
-Alayna & Alissa.
9-5: Multiply Binomials
Notes: Section 9-5 Student 1011.pdfView the lesson:
Student Summaries:
First you have to distribute the first number in the first set of perenthsises it usually has a variable with it. Then you multiply the second number in the first set of perenthisies. After that you add or subtract like terms.
-Susie and Dylan K.
9-6: Problem Solving Skills: Work Backwards
Notes: Section 9-6 Student 1011.pdfView the lesson:
Student Summaries:
In this lesson, we learned how to solve real-world applications by working backwards.
(NOT FINISHED, DON'T GRADE YET)
9-7: Factoring Using the Greatest Common Factor (GCF)
Notes: Section 9-7 Student 1011.pdfView the lesson:
Student Summaries:
In lesson 9-7, we learned how to take a polynomial and break it down into two things. You would, in a way, seperate the polynomial so it is as small as possible. For example, to factor a polynomial like 24h+16hy, the highest number that both 24 and 16 have in common would be 8. So, outside of the brackets, you would have an 8 that can be distributed to a 3+2; resulting in 24+16. Then, you look at the variables to see what they have in common as well. They both have an h but 16hy has a y as well so only an h can stand with the 8. The 2 would have the y with it so the ending result would be 8h[3+2y].
~Bethany H.
9-8: Perfect Squares and Differences of Squares
Notes: Section 9-8 Student 1011.pdfView the lesson:
Student Summaries:
In section 9-8 we learned how to factor perfect square trinomials and how to factor the differance of perfect squares. Then when you multiply two binomials together you get a trinomial. That will be known as a perfect square this will then factor into a binomial square.
-Jimmy H.
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